Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 81.0 78.2 57.2 66.6 78.2 38.8 Award Winners 5.5 8.7 3.3 1.6 11 0.1 Construct a scatterplot. Choose the correct graph below. O A. 12- H Internet Users 90 Q Q G The linear correlation coefficient is r (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is OB. Internet Users G the significance level, there OC. 12- 30 Internet Users Q sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners. OD. 30 Internet Users Q
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 81.0 78.2 57.2 66.6 78.2 38.8 Award Winners 5.5 8.7 3.3 1.6 11 0.1 Construct a scatterplot. Choose the correct graph below. O A. 12- H Internet Users 90 Q Q G The linear correlation coefficient is r (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is OB. Internet Users G the significance level, there OC. 12- 30 Internet Users Q sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners. OD. 30 Internet Users Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Correlation Analysis Between Internet Users and Scientific Award Winners
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.05 \).
| Internet Users (per 100 people) | 81.0 | 78.2 | 57.2 | 66.6 | 78.2 | 38.8 |
|---------------------------------|------|------|------|------|------|------|
| Award Winners (per 10 million) | 5.5 | 8.7 | 3.3 | 1.6 | 11 | 0.1 |
---
### Scatterplot
Choose the correct graph below:
- [ ] A.
- [ ] B.
- [ ] C.
- [x] D.
(Graph D is selected as the correct scatterplot, showing the relationship between "Internet Users" on the x-axis and "Award Winners" on the y-axis.)
---
### Correlation Analysis
1. **The linear correlation coefficient \( r \) is**: \[ \boxed{0.611} \]
(Round to three decimal places as needed.)
2. **Determine the null and alternative hypotheses:**
- \( H_0 \): \( \rho = 0 \)
- \( H_1 \): \( \rho \neq 0 \)
(Type integers or decimals. Do not round.)
3. **The test statistic is \( t \):** \[ \boxed{1.748} \]
(Round to two decimal places as needed.)
4. **The P-value is**: \[ \boxed{0.153} \]
(Round to three decimal places as needed.)
---
### Conclusion
**Because the P-value of the linear correlation coefficient is**: \( 0.153 \)
-- **greater than** -- \(0.05\) (the significance level), there
\[ \boxed{\text{is not}} \]
sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55a9817e-9372-47b6-9bcc-e7680b62d993%2F45a99064-9a19-4a9e-83c6-156620e235e9%2Fjc5i0n_processed.png&w=3840&q=75)
Transcribed Image Text:### Correlation Analysis Between Internet Users and Scientific Award Winners
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.05 \).
| Internet Users (per 100 people) | 81.0 | 78.2 | 57.2 | 66.6 | 78.2 | 38.8 |
|---------------------------------|------|------|------|------|------|------|
| Award Winners (per 10 million) | 5.5 | 8.7 | 3.3 | 1.6 | 11 | 0.1 |
---
### Scatterplot
Choose the correct graph below:
- [ ] A.
- [ ] B.
- [ ] C.
- [x] D.
(Graph D is selected as the correct scatterplot, showing the relationship between "Internet Users" on the x-axis and "Award Winners" on the y-axis.)
---
### Correlation Analysis
1. **The linear correlation coefficient \( r \) is**: \[ \boxed{0.611} \]
(Round to three decimal places as needed.)
2. **Determine the null and alternative hypotheses:**
- \( H_0 \): \( \rho = 0 \)
- \( H_1 \): \( \rho \neq 0 \)
(Type integers or decimals. Do not round.)
3. **The test statistic is \( t \):** \[ \boxed{1.748} \]
(Round to two decimal places as needed.)
4. **The P-value is**: \[ \boxed{0.153} \]
(Round to three decimal places as needed.)
---
### Conclusion
**Because the P-value of the linear correlation coefficient is**: \( 0.153 \)
-- **greater than** -- \(0.05\) (the significance level), there
\[ \boxed{\text{is not}} \]
sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.
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